Finding the Third Proportional to 29,854.50 and 46,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,854.50 : 46,597.50 = 46,597.50 : x
2. Step 2: Convert to fraction form
   29,854.50/46,597.50 = 46,597.50/x
3. Step 3: Cross multiply
   29,854.50x = 46,597.50 × 46,597.50
4. Step 4: Simplify right side
   29,854.50x = 2,171,327,006.25
5. Step 5: Solve for x
   x = 2,171,327,006.25/29,854.50
6. Step 6: Final answer
   x = 72,730.31